stoog40561 stoog40561

05-12-2019
Mathematics

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A voltage ???? across a resistance ???? generates a current ????=????/????. If a constant voltage of 23 volts is put across a resistance that is increasing at a rate of 0.5 ohms per second when the resistance is 4 ohms, at what rate is the current changing? (Give units.)

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musiclover10045 musiclover10045

05-12-2019

I = V / R

V = 23 volts

R' = dR/dt = 0.5 ohms/second

R = 4 ohms

Rate of change = V(-1/R^2)(dR/dt)

Rate of change = 12(-1/16)(-0.05)

Rate of change = 0.375 amps/second

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